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Finding the Fourth Proportional to 21,543.52, 32,301.96 and 8,380.48

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Solution

The fourth proportional to 21,543.52, 32,301.96 and 8,380.48 is: 12,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.52 : 32,301.96 = 8,380.48 : x
  2. Step 2: Convert to fraction form
    21,543.52/32,301.96 = 8,380.48/x
  3. Step 3: Cross multiply
    21,543.52x = 32,301.96 × 8,380.48
  4. Step 4: Simplify right side
    21,543.52x = 270,705,929.74
  5. Step 5: Solve for x
    x = 270,705,929.74/21,543.52
  6. Step 6: Final answer
    x = 12,565.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.